63037645140625 has 63 divisors (see below), whose sum is σ = 83186363579823. Its totient is φ = 47761608150000.

The previous prime is 63037645140619. The next prime is 63037645140637. The reversal of 63037645140625 is 52604154673036.

It is a happy number.

The square root of 63037645140625 is 7939625.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 55227028757121 + 7810616383504 = 7431489^2 + 2794748^2 .

It is not a de Polignac number, because 63037645140625 - 2⁵ = 63037645140593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 18856607704 + ... + 18856611046.

It is an arithmetic number, because the mean of its divisors is an integer number (1320418469521).

Almost surely, 2^{63037645140625} is an apocalyptic number.

63037645140625 is the 7939625-th square number.

63037645140625 is the 3969813-rd centered octagonal number.

It is an amenable number.

63037645140625 is a deficient number, since it is larger than the sum of its proper divisors (20148718439198).

63037645140625 is an frugal number, since it uses more digits than its factorization.

63037645140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6754 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 52.

The spelling of 63037645140625 in words is "sixty-three trillion, thirty-seven billion, six hundred forty-five million, one hundred forty thousand, six hundred twenty-five".